Results 31 to 40 of about 1,193 (265)
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
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Difference schemes for degenerate parabolic equations [PDF]
Mathematics of Computation, 1986 Diagonal dominant implicit-difference schemes approximating a porous media type class of multidimensional nonlinear equations are shown to generate semigroups in an approximate L
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Time‐Dependent Oxidation and Scale Evolution of a Wrought Co/Ni‐Based Superalloy
Advanced Engineering Materials, EarlyView.This study shows how a new wrought Co/Ni‐based superalloy resists oxidation at 800 ∘$^\circ$C. The oxide scale changes from rough, fast‐growing spinel to a dense, protective chromia–alumina layer. Atom probe analysis reveals tiny refractory‐rich bubbles at the interface that mark the transition to long‐term, diffusion‐controlled protection ...
Cameron Crabb +6 more
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Coefficient inverse problem for the strongly degenerate parabolic equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
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In Situ Micromechanical Study of Bimodal γ′–γ″ Precipitate Assemblies in Ni–Cr–Al–Nb Superalloy
Advanced Engineering Materials, EarlyView.A Ni–Cr–Al–Nb superalloy with a bimodal γ′–γ″ precipitate distribution is developed. Composite precipitate assemblies form through heterogeneous nucleation, effectively impeding dislocation motion. Micropillar compression reveals high strength at room and elevated temperatures, governed by precipitate shearing, with coupled faulting mechanisms ...
Ujjval Bansal +4 more
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Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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An inverse backward problem for degenerate two-dimensional parabolic equation [PDF]
Opuscula Mathematica, 2020 This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation \[\partial_{t}u-\mathrm{div}\left(a(x,y)I_2\nabla u\right)=f,\quad (x,y)\in\Omega,\; t\in(0,T),\] where \(\Omega\) is an open, bounded ...
Khalid Atifi +2 more
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Impact of MgO Additions on the Oxidation Resistance and Compression Behavior of Vanadium Alloys
Advanced Engineering Materials, EarlyView.An increase in oxidation resistance at 600 °C is achieved for alloys containing more than 2.5 wt.% MgO. It has been established that, along with V2O5, MgO6V2, and Mg2O7V2 are formed, which are presumed to enhance oxidative stability. Furthermore, the possible transformation of Mg‐vanadates through reaction with CO2, which presumably occurs in this ...
Ievgen Solodkyi +5 more
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Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence
Nonlinear Analysis, 2007 This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
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